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Finding the Third Proportional to 131,118 and 286,041

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Solution

The third proportional to 131,118 and 286,041 is: 624,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,118 : 286,041 = 286,041 : x
  2. Step 2: Convert to fraction form
    131,118/286,041 = 286,041/x
  3. Step 3: Cross multiply
    131,118x = 286,041 × 286,041
  4. Step 4: Simplify right side
    131,118x = 81,819,453,681
  5. Step 5: Solve for x
    x = 81,819,453,681/131,118
  6. Step 6: Final answer
    x = 624,013.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.